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The CDC initially reported that the effectiveness of the Moderna Vaccine in preventing Covid-19 (after a second shot and two months time) could be

 

The CDC initially reported that the effectiveness of the Moderna Vaccine in preventing Covid-19 (after a second shot and two months time) could be given by the 95% confidence interval (.893, .967). Answer the following relating to this confidence interval. A) What would be the sample proportion (point estimate) of those in Moderna's clinical trial for which the vaccine was deemed effective in preventing Covid-19? (Base answer on the Confidence Interval) B) What would be the margin of error associated with the confidence interval? C) What would be the critical z- value associated with the 95% confidence interval? D) What is the Standard error (standard deviation) associated with point estimate? E) If a 90% confidence interval was calculated what would be the new margin of error? (Hint: use the critical z value associated with 90% confidence interval and the standard error associated with point estimate) F) Will the 90% confidence interval be wider or narrower than the 95% confidence interval? 2.58 1.45 1.96 0.92 1.645 Narrower

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